Question

given the equation $y = \frac{1}{2}x$, fill in the table for the corresponding $y$ values when $x$ is -10, -2, 2, 6, 8 respectively. the table has two columns: $x$ and $y$. for $x = -10$, find the value of $y$; also find $y$ for $x = -2$, $x = 2$, $x = 6$, $x = 8$.

Explanation:

Step1: Substitute \( x = -10 \) into \( y = \frac{1}{2}x \)

\( y = \frac{1}{2} \times (-10) \)

Step2: Calculate the value

\( y = -5 \)

Step3: Substitute \( x = -2 \) into \( y = \frac{1}{2}x \)

\( y = \frac{1}{2} \times (-2) \)

Step4: Calculate the value

\( y = -1 \)

Step5: Substitute \( x = 2 \) into \( y = \frac{1}{2}x \)

\( y = \frac{1}{2} \times 2 \)

Step6: Calculate the value

\( y = 1 \)

Step7: Substitute \( x = 6 \) into \( y = \frac{1}{2}x \)

\( y = \frac{1}{2} \times 6 \)

Step8: Calculate the value

\( y = 3 \)

Step9: Substitute \( x = 8 \) into \( y = \frac{1}{2}x \)

\( y = \frac{1}{2} \times 8 \)

Step10: Calculate the value

\( y = 4 \)

Answer:

For \( x = -10 \), \( y = -5 \);
For \( x = -2 \), \( y = -1 \);
For \( x = 2 \), \( y = 1 \);
For \( x = 6 \), \( y = 3 \);
For \( x = 8 \), \( y = 4 \).